Use the definition of continuity to determine whether f is continuous at a.

$$f(x) = 5x^4 - 9x^3 + x - 7a = 7$$
A. Not continuous
B. Continuous

Question

Use the definition of continuity to determine whether f is continuous at a. 

$$f(x) = 5x^4 - 9x^3 + x - 7a = 7$$
  A. Not continuous 	
  B. Continuous

anonymous · Answer

Help please? ♥

kainui · Answer

What does the definition of continuity state?

anonymous · Answer

I think it means to go on... something like progress or just non stop.
Are you asking me to actually get the definition lol

anonymous · Answer

Continuity: the unbroken and consistent existence or operation of something over a period of time.

kainui · Answer

"Use the definition of continuity"

It says in your question you need to use the definition. What you've just posted is not a mathematical definition at all. Look in your book or notes and find the definition you should be using, as it is a precise mathematical statement.

anonymous · Answer

Ooooh I assumed it was supposed to be mathematical but I was always pick the latter

anonymous · Answer

excuse my typo's

anonymous · Answer

typos >.>

anonymous · Answer

first find the limit of f(x) as x goes to 7 from both the left and right side

anonymous · Answer

evaluate f(7) and check if it is equal to the limit value. if so it is continuous

anonymous · Answer

polynomials are continuous for all real numbers. Therefore, it is continuous

anonymous · Answer

Oooh I see.
Thank you very much for explaining.